Make a paste with 2 tbsp. baking soda and 1 tsp. water. Add more water as needed to make a thick paste.
Dip the soft towel into the paste and rub the mixture over the cigarette burn in a circular motion. This removes the light brown stain left by the burn mark.
Sand the burn mark. Moisten sand paper and apply it to the burn mark using a light, sweeping motion across the mark.
Buff the area with the buffing pad. Use a left-to-right motion as you lightly sweep the buffing pad over the sanded area.
Wipe the area with a clean towel. Apply marble restorer to the area and wipe it in to restore shine.